338309892846 has 96 divisors (see below), whose sum is σ = 804286454400. Its totient is φ = 102362944320.

The previous prime is 338309892821. The next prime is 338309892847. The reversal of 338309892846 is 648298903833.

338309892846 is a `hidden beast` number, since 3 + 383 + 0 + 98 + 92 + 84 + 6 = 666.

It is a super-2 number, since 2×338309892846² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338309892847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1169065 + ... + 1429451.

It is an arithmetic number, because the mean of its divisors is an integer number (8377983900).

Almost surely, 2^338309892846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338309892846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402143227200).

338309892846 is an abundant number, since it is smaller than the sum of its proper divisors (465976561554).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

338309892846 is a wasteful number, since it uses less digits than its factorization.

338309892846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260574 (or 260571 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 338309892846 in words is "three hundred thirty-eight billion, three hundred nine million, eight hundred ninety-two thousand, eight hundred forty-six".